Theorems · Theorem · group theory
Finsupp.toFreeAbelianGroup_comp_singleAddHom
∀ {X : Type u_1} (x : X),
Finsupp.toFreeAbelianGroup.comp (Finsupp.singleAddHom x) =
(smulAddHom ℤ (FreeAbelianGroup X)).flip (FreeAbelianGroup.of x)- Defined in
- Mathlib.Algebra.FreeAbelianGroup.Finsupp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsuppstatement · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- AddMonoidHom.compstatement · cited by 339
- AddMonoidHom.extproof · cited by 149
- FreeAbelianGroupstatement · cited by 82
- FreeAbelianGroup.ofstatement · cited by 40
- AddMonoidHom.flipstatement · cited by 25
- smulAddHomstatement · cited by 17
- Finsupp.singleAddHomstatement · cited by 14
- Finsupp.toFreeAbelianGroupstatement · cited by 8
- Finsupp.toFreeAbelianGroup_singleproof · cited by 3
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